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Finding the Fourth Proportional to 465,883.47, 642,898.49 and 284,898.69

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Solution

The fourth proportional to 465,883.47, 642,898.49 and 284,898.69 is: 393,147.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,883.47 : 642,898.49 = 284,898.69 : x
  2. Step 2: Convert to fraction form
    465,883.47/642,898.49 = 284,898.69/x
  3. Step 3: Cross multiply
    465,883.47x = 642,898.49 × 284,898.69
  4. Step 4: Simplify right side
    465,883.47x = 183,160,936,179.49
  5. Step 5: Solve for x
    x = 183,160,936,179.49/465,883.47
  6. Step 6: Final answer
    x = 393,147.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.